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Calculus Study Guide: Derivatives, Differentiability, and Applications

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Tangent Lines and Derivatives

  • 가이드 코스
    Slopes of Tangent Lines
    05:13
  • 가이드 코스
    Determine Continuity Algebraically Example 1
    05:10
  • 가이드 코스
    Equations of Tangent Lines
    05:14

Basic Rules of Differentiation

  • The Power Rule: Negative & Rational Exponents
    04:09
  • The Power Rule: Negative & Rational Exponents Example 1
    03:37
  • The Power Rule
    04:02

Product and Quotient Rules

  • The Product Rule Example 1
    04:21
  • The Product Rule
    05:18
  • The Quotient Rule
    06:43

The Chain Rule

  • Intro to the Chain Rule Example 2
    07:39
  • Intro to the Chain Rule Example 3
    03:52
  • Intro to the Chain Rule Example 1
    07:01

Derivatives of Trig Functions

  • Derivatives of Sine & Cosine
    03:53
  • Derivatives of Other Trig Functions Example 1
    01:32
  • Higher Order Derivatives of Sine & Cosine
    03:51

Derivatives of Exponential & Logarithmic Functions

  • Derivatives of General Logarithmic Functions
    06:32
  • Derivative of the Natural Logarithmic Function
    05:18
  • Derivative of the Natural Exponential Function (e^x) Example 3
    02:38

Derivatives of Inverse Trigonometric Functions

  • Derivatives of Other Inverse Trigonometric Functions
    06:35
  • Derivatives of Inverse Sine & Inverse Cosine Example 1
    03:36
  • Derivatives of Inverse Sine & Inverse Cosine
    07:26

Differentiability

  • Determining Differentiability Graphically
    05:02
  • Determining Differentiability Without A Graph
    05:20

Introduction to Limits

  • Cases Where Limits Do Not Exist Example 2
    03:33
  • Finding Limits Numerically and Graphically
    6:47
  • Cases Where Limits Do Not Exist
    03:07

Finding Limits Algebraically

  • Limits of Rational Functions with Radicals
    06:13
  • Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Limits of Rational Functions with Radicals Example 3
    02:54